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Equipping distributions for linear distribution

Marina F. Grebenyuk, Josef Mikeš (2007)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In this paper there are discussed the three-component distributions of affine space A n + 1 . Functions { σ } , which are introduced in the neighborhood of the second order, determine the normal of the first kind of -distribution in every center of -distribution. There are discussed too normals { 𝒵 σ } and quasi-tensor of the second order { 𝒮 σ } . In the same way bunches of the projective normals of the first kind of the -distributions were determined in the differential neighborhood of the second and third order.

Geometry of Mus-Sasaki metric

Abderrahim Zagane, Mustapha Djaa (2018)

Communications in Mathematics

In this paper, we introduce the Mus-Sasaki metric on the tangent bundle T M as a new natural metric non-rigid on T M . First we investigate the geometry of the Mus-Sasakian metrics and we characterize the sectional curvature and the scalar curvature.

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